Dakota Mixes two cereals for breakfast. one gram of cereal A has 6 grams of sodium and 7 calories. one gram of cereal B has 8

Dakota Mixes two cereals for breakfast. one gram of cereal A has 6 grams of sodium and 7 calories. one gram of cereal B has 8 milligrams of sodium and 5 calories. She want a bowl of cereal that contains no more than 200 milligrams of sodium and 150 calories. let A equal number of grams of cereal of A and B equal the number of grams of cereal B where A>0 and B>0 which system of inequality represent the possible way Dakota can mix the cereal ?

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  1. Let's assume

    x be the number of loads by land carriers

    y be the number of loads by air carriers

    so, maximum number of loads can be 150

    total number of loads =(the number of loads by land carriers)+(the number of loads by air carriers)

    so, we get

    [tex]x+y\leq 150[/tex]

    the mail is sent via ground in air each land carrier takes 2000 pieces per load

    so, total number of pieces by land =2000x

    each air carrier takes 1500 pieces per load the

    so, total number of pieces by air =1500y

    total number of pieces = (total number of pieces by land)+(total number of pieces by air)

    now, we can plug values

    total number of pieces =2000x+1500y

    A mail distribution center processes as many as 175000 pieces of mail each day

    so, we get

    [tex]2000x+1500y\leq 175000[/tex]

    so, we get system of inequality as

    [tex]x+y\leq 150[/tex]

    [tex]2000x+1500y\leq 175000[/tex]................Answer

  2. Answer & Explanation:

    A compound inequality contains at least two inequalities that are separated by either "and" or "or". The graph of a compound inequality with an "and" represents the intersection of the graph of the inequalities.To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a line. If the inequality is strict ( < or > ), graph a dashed line.

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